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IRISSAK [1]
3 years ago
11

If 4x^2 - 100 = 0, what are the roots of the equation?

Mathematics
2 answers:
drek231 [11]3 years ago
8 0
The roots to this equation i s either positive or negative five
BartSMP [9]3 years ago
4 0
Positive or negative 5
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D) Distribute Property

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The student did Distribute property but they didn't mark it down.

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What is the surface area of the sphere below?
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A =4πr2

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Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real life should be 2 inches in th
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Answer:

5 feet (60 inches) proportional to 2 inches is a 30:1 relationship.

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A manufacturer of cellular phones has decided that an assembly line is operating satisfactorily if less than​ 6% of the phones m
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Answer:

a) All the phones produced during the day in question.

Step-by-step explanation:

In statistics, the Population is all the objects with the same characteristics in which we have an interest in doing an experiment or statistical analysis. Sometimes to make it more simple, we take just a sample of the population and we do the experiments with them, and then the answers are used to all of the objects.

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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

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